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Multi-peak semiclassical bound states for Fractional Schrodinger Equations with fast decaying potentials

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成果类型:
期刊论文
作者:
An, Xiaoming;Peng, Shuangjie
作者机构:
[An, Xiaoming] Sch Math & Stat, Guiyang 550025, Peoples R China.
[An, Xiaoming] Guizhou Univ Finance & Econ, Guiyang 550025, Peoples R China.
[Peng, Shuangjie] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
[Peng, Shuangjie] Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Peoples R China.
语种:
英文
关键词:
variational method;fractional SchrEodinger;multi-peak;compactly supported;penalized technique
期刊:
Electronic Research Archive
ISSN:
2688-1594
年:
2022
卷:
30
期:
2
页码:
585-614
基金类别:
NSFC [12101150, 11831009]; Science and Technology Foundation of Guizhou Province [[2021]ZK008]
机构署名:
本校为其他机构
院系归属:
数学与统计学学院
摘要:
<abstract><p>We study the following fractional Schrödinger equation</p> <p><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ \begin{equation*} \label{eq0.1} \varepsilon^{2s}(-\Delta)^s u + V(x)u = f(u), \,\,x\in\mathbb{R}^N, \end{equation*} $\end{document} </tex-math> </disp-formula></p> <p>where $ s\in(0,1) $. Under some conditions on $ f(u) $, we show that the problem has a family of solutions concentrating at any finite given local minima of $ V $ provided that ...

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